Considering Phase EquilibriumAn isolated system has two

Chapter 14, Problem 78P

(choose chapter or problem)

An isolated system has two phases, denoted by A and B, each of which consists of the same two substances, denoted by 1 and 2. Show that necessary conditions for equilibrium are

1. the temperature of each phase is the same,\(T_{\mathrm{A}}=T_{\mathrm{B}}\).

2. the pressure of each phase is the same, \(p_{\mathrm{A}}=p_{\mathrm{B}}\).

3. the chemical potential of each component has the same value in each phase, \(\mu_{1}^{\mathrm{A}}=\mu_{1}^{\mathrm{B}}, \mu_{2}^{\mathrm{A}}=\mu_{2}^{\mathrm{B}}\).

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